2023/05/30 by Filip Chudy, Chudy, Filip, Paweł Woźny +1 · 1 citation
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algorithm #Applied mathematics #Bernstein polynomial #Bézier curve #Computer science #Geometric design #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Order (exchange) #Polynomial #Polynomial and rational function modeling
paper · pdf · doi:10.48550/arxiv.2305.18874
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
New geometric methods for fast evaluation of derivatives of polynomial and rational Bézier curves are proposed. They apply an algorithm for evaluating polynomial or rational Bézier curves, which was recently given by the authors. Numerical tests show that the new approach is more efficient than the methods which use the famous de Casteljau algorithm. The algorithms work well even for high-order derivatives of rational Bézier curves of high degrees.